Answer:
28 meters
Step-by-step explanation:
<u><em>The question in English is</em></u>
On a 32-meter roll of fabric, it cuts an eighth of the total. How many meters of fabric are left in a roll?
step 1
we know that
To find out how many meters of fabric were cut, multiply the total meters by the fraction that was cut

step 2
To find out how many meters of fabric are left, subtract the meters of fabric that were cut from the total meters of fabric
so

Answer: The answer is the second equation (y = 3x-4 and y = -1/3x - 2)
Step-by-step explanation:
This is because two lines are perpendicular when the slopes of the equations are negative reciprocals from each other.
Answer: It's A.
You can see in the figure that:
BG=GD
<BGI=<OGD
GI=GO
<h3>Given:</h3>
The ratio of number of girls and boys in a class of 30 students is 7:8
<h3>To Find:</h3>
The ratio of number of girls and boys if 5 new boys admit in the class.
<h3>Assumption:</h3>
Let the number of students be x.
<h3>Solution:</h3>
According to the question,
7x + 8x = 30
or, 15x = 30
or, x = 
or, x = 2
7x = 7(2) = 14
8x = 8(2) = 16
There were 14 boys and 16 girls in the school.
After admitting 5 new boys, we get
14 + 5 = <u>19</u>
The ratio of number of girls and boys now is 16:19.
<h2>Answer:</h2>
<u>1</u><u>6</u><u>:</u><u>1</u><u>9</u>
Answer:
10000*0.6065=6065
A. about 6,065
Step-by-step explanation:
Definitions and concepts
The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:

And the parameter
represent the average ocurrence rate per unit of time.
For this distribution the expected value is the same parameter
,
, 
Solution to the problem
We want "how many would have no blemishes" so first we need to find the probability that X=0, since X represent on this case the number of blemishes on each door. And if we use the mass function we got this:

And now since we have a total of 10000 doors painted we can find how many we would expect with no blemishes:
10000*0.6065=6065
A. about 6,065